In order for vector u = [3 3 2] to be a linear combination of vector v1 =[1 0 1] and vector v2 =[1 1 1], it would necessary u=3[1,1,1]+t[1,0,1]. That is the only way to have 3 in the second position of u. But that means that 3+t=3 and 3+t=2. But that is impossible.